3(2y+5)=5(1-y)

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Solution for 3(2y+5)=5(1-y) equation:


Simplifying
3(2y + 5) = 5(1 + -1y)

Reorder the terms:
3(5 + 2y) = 5(1 + -1y)
(5 * 3 + 2y * 3) = 5(1 + -1y)
(15 + 6y) = 5(1 + -1y)
15 + 6y = (1 * 5 + -1y * 5)
15 + 6y = (5 + -5y)

Solving
15 + 6y = 5 + -5y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '5y' to each side of the equation.
15 + 6y + 5y = 5 + -5y + 5y

Combine like terms: 6y + 5y = 11y
15 + 11y = 5 + -5y + 5y

Combine like terms: -5y + 5y = 0
15 + 11y = 5 + 0
15 + 11y = 5

Add '-15' to each side of the equation.
15 + -15 + 11y = 5 + -15

Combine like terms: 15 + -15 = 0
0 + 11y = 5 + -15
11y = 5 + -15

Combine like terms: 5 + -15 = -10
11y = -10

Divide each side by '11'.
y = -0.9090909091

Simplifying
y = -0.9090909091

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